Answer to Question #108551 in Classical Mechanics for Chinmoy Kumar Bera

Question

a particle of mass 4kg moving with a velocity of 2 m/s collides elastically with particle of mass 6kg moving with velocity of -4m/s.what is the centre of mass?

Answer 1

As per the given question,

Mass of the particle $(m_1)=4kg$

Velocity of the object $(v_1)=2 m/sec$

Mass of the second $(m_2)=6kg$

Velocity of the second object $(v_2)=-4m/sec$

So, $V_{com}=\dfrac{m_1v_2+m_2v_2}{m_1+m_2}$

$\Rightarrow V_{com}=\dfrac{4\times 2-6\times 4}{4+6}$

$\Rightarrow V_{com}=\dfrac{8-24}{10}=\dfrac{-16}{10}=-1.6m/sec$

Hence the velocity of center of mass will be $V_{com}=-1.6m/sec$